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Finding the Third Proportional to 37,134 and 60,959

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Solution

The third proportional to 37,134 and 60,959 is: 100,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134 : 60,959 = 60,959 : x
  2. Step 2: Convert to fraction form
    37,134/60,959 = 60,959/x
  3. Step 3: Cross multiply
    37,134x = 60,959 × 60,959
  4. Step 4: Simplify right side
    37,134x = 3,715,999,681
  5. Step 5: Solve for x
    x = 3,715,999,681/37,134
  6. Step 6: Final answer
    x = 100,070.01

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.