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Finding the Third Proportional to 107,460 and 161,598

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Solution

The third proportional to 107,460 and 161,598 is: 243,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,460 : 161,598 = 161,598 : x
  2. Step 2: Convert to fraction form
    107,460/161,598 = 161,598/x
  3. Step 3: Cross multiply
    107,460x = 161,598 × 161,598
  4. Step 4: Simplify right side
    107,460x = 26,113,913,604
  5. Step 5: Solve for x
    x = 26,113,913,604/107,460
  6. Step 6: Final answer
    x = 243,010.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.