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Finding the Third Proportional to 58,064 and 89,715

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Solution

The third proportional to 58,064 and 89,715 is: 138,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,064 : 89,715 = 89,715 : x
  2. Step 2: Convert to fraction form
    58,064/89,715 = 89,715/x
  3. Step 3: Cross multiply
    58,064x = 89,715 × 89,715
  4. Step 4: Simplify right side
    58,064x = 8,048,781,225
  5. Step 5: Solve for x
    x = 8,048,781,225/58,064
  6. Step 6: Final answer
    x = 138,619.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.