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Finding the Third Proportional to 115,670 and 157,581

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Solution

The third proportional to 115,670 and 157,581 is: 214,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,670 : 157,581 = 157,581 : x
  2. Step 2: Convert to fraction form
    115,670/157,581 = 157,581/x
  3. Step 3: Cross multiply
    115,670x = 157,581 × 157,581
  4. Step 4: Simplify right side
    115,670x = 24,831,771,561
  5. Step 5: Solve for x
    x = 24,831,771,561/115,670
  6. Step 6: Final answer
    x = 214,677.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.