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Finding the Third Proportional to 53,606 and 84,959

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Solution

The third proportional to 53,606 and 84,959 is: 134,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,606 : 84,959 = 84,959 : x
  2. Step 2: Convert to fraction form
    53,606/84,959 = 84,959/x
  3. Step 3: Cross multiply
    53,606x = 84,959 × 84,959
  4. Step 4: Simplify right side
    53,606x = 7,218,031,681
  5. Step 5: Solve for x
    x = 7,218,031,681/53,606
  6. Step 6: Final answer
    x = 134,649.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.