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Finding the Third Proportional to 102,682 and 157,762.50

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Solution

The third proportional to 102,682 and 157,762.50 is: 242,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682 : 157,762.50 = 157,762.50 : x
  2. Step 2: Convert to fraction form
    102,682/157,762.50 = 157,762.50/x
  3. Step 3: Cross multiply
    102,682x = 157,762.50 × 157,762.50
  4. Step 4: Simplify right side
    102,682x = 24,889,006,406.25
  5. Step 5: Solve for x
    x = 24,889,006,406.25/102,682
  6. Step 6: Final answer
    x = 242,389.19

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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.