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Finding the Third Proportional to 102,124.13 and 157,492.69

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Solution

The third proportional to 102,124.13 and 157,492.69 is: 242,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.13 : 157,492.69 = 157,492.69 : x
  2. Step 2: Convert to fraction form
    102,124.13/157,492.69 = 157,492.69/x
  3. Step 3: Cross multiply
    102,124.13x = 157,492.69 × 157,492.69
  4. Step 4: Simplify right side
    102,124.13x = 24,803,946,615.97
  5. Step 5: Solve for x
    x = 24,803,946,615.97/102,124.13
  6. Step 6: Final answer
    x = 242,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.