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Finding the Third Proportional to 61,062 and 97,134.75

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Solution

The third proportional to 61,062 and 97,134.75 is: 154,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,062 : 97,134.75 = 97,134.75 : x
  2. Step 2: Convert to fraction form
    61,062/97,134.75 = 97,134.75/x
  3. Step 3: Cross multiply
    61,062x = 97,134.75 × 97,134.75
  4. Step 4: Simplify right side
    61,062x = 9,435,159,657.56
  5. Step 5: Solve for x
    x = 9,435,159,657.56/61,062
  6. Step 6: Final answer
    x = 154,517.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.