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Finding the Third Proportional to 58,259.25 and 89,515.13

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Solution

The third proportional to 58,259.25 and 89,515.13 is: 137,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,259.25 : 89,515.13 = 89,515.13 : x
  2. Step 2: Convert to fraction form
    58,259.25/89,515.13 = 89,515.13/x
  3. Step 3: Cross multiply
    58,259.25x = 89,515.13 × 89,515.13
  4. Step 4: Simplify right side
    58,259.25x = 8,012,957,603.77
  5. Step 5: Solve for x
    x = 8,012,957,603.77/58,259.25
  6. Step 6: Final answer
    x = 137,539.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.