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Finding the Third Proportional to 58,642.50 and 94,422

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Solution

The third proportional to 58,642.50 and 94,422 is: 152,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,642.50 : 94,422 = 94,422 : x
  2. Step 2: Convert to fraction form
    58,642.50/94,422 = 94,422/x
  3. Step 3: Cross multiply
    58,642.50x = 94,422 × 94,422
  4. Step 4: Simplify right side
    58,642.50x = 8,915,514,084
  5. Step 5: Solve for x
    x = 8,915,514,084/58,642.50
  6. Step 6: Final answer
    x = 152,031.62

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.