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Finding the Third Proportional to 107,140 and 158,522

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Solution

The third proportional to 107,140 and 158,522 is: 234,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,140 : 158,522 = 158,522 : x
  2. Step 2: Convert to fraction form
    107,140/158,522 = 158,522/x
  3. Step 3: Cross multiply
    107,140x = 158,522 × 158,522
  4. Step 4: Simplify right side
    107,140x = 25,129,224,484
  5. Step 5: Solve for x
    x = 25,129,224,484/107,140
  6. Step 6: Final answer
    x = 234,545.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.