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Finding the Third Proportional to 102,022 and 157,315

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Solution

The third proportional to 102,022 and 157,315 is: 242,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022 : 157,315 = 157,315 : x
  2. Step 2: Convert to fraction form
    102,022/157,315 = 157,315/x
  3. Step 3: Cross multiply
    102,022x = 157,315 × 157,315
  4. Step 4: Simplify right side
    102,022x = 24,748,009,225
  5. Step 5: Solve for x
    x = 24,748,009,225/102,022
  6. Step 6: Final answer
    x = 242,575.22

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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.