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Finding the Third Proportional to 58,200 and 88,382

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Solution

The third proportional to 58,200 and 88,382 is: 134,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,200 : 88,382 = 88,382 : x
  2. Step 2: Convert to fraction form
    58,200/88,382 = 88,382/x
  3. Step 3: Cross multiply
    58,200x = 88,382 × 88,382
  4. Step 4: Simplify right side
    58,200x = 7,811,377,924
  5. Step 5: Solve for x
    x = 7,811,377,924/58,200
  6. Step 6: Final answer
    x = 134,216.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.