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Finding the Third Proportional to 58,685 and 88,309

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Solution

The third proportional to 58,685 and 88,309 is: 132,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,685 : 88,309 = 88,309 : x
  2. Step 2: Convert to fraction form
    58,685/88,309 = 88,309/x
  3. Step 3: Cross multiply
    58,685x = 88,309 × 88,309
  4. Step 4: Simplify right side
    58,685x = 7,798,479,481
  5. Step 5: Solve for x
    x = 7,798,479,481/58,685
  6. Step 6: Final answer
    x = 132,887.10

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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.