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Finding the Third Proportional to 102,160 and 157,784

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Solution

The third proportional to 102,160 and 157,784 is: 243,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160 : 157,784 = 157,784 : x
  2. Step 2: Convert to fraction form
    102,160/157,784 = 157,784/x
  3. Step 3: Cross multiply
    102,160x = 157,784 × 157,784
  4. Step 4: Simplify right side
    102,160x = 24,895,790,656
  5. Step 5: Solve for x
    x = 24,895,790,656/102,160
  6. Step 6: Final answer
    x = 243,694.11

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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.