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Finding the Third Proportional to 107,313 and 157,677

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Solution

The third proportional to 107,313 and 157,677 is: 231,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,313 : 157,677 = 157,677 : x
  2. Step 2: Convert to fraction form
    107,313/157,677 = 157,677/x
  3. Step 3: Cross multiply
    107,313x = 157,677 × 157,677
  4. Step 4: Simplify right side
    107,313x = 24,862,036,329
  5. Step 5: Solve for x
    x = 24,862,036,329/107,313
  6. Step 6: Final answer
    x = 231,677.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.