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Finding the Third Proportional to 58,457 and 85,604

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Solution

The third proportional to 58,457 and 85,604 is: 125,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,457 : 85,604 = 85,604 : x
  2. Step 2: Convert to fraction form
    58,457/85,604 = 85,604/x
  3. Step 3: Cross multiply
    58,457x = 85,604 × 85,604
  4. Step 4: Simplify right side
    58,457x = 7,328,044,816
  5. Step 5: Solve for x
    x = 7,328,044,816/58,457
  6. Step 6: Final answer
    x = 125,357.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.