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Finding the Third Proportional to 58,260.50 and 85,463

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Solution

The third proportional to 58,260.50 and 85,463 is: 125,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,260.50 : 85,463 = 85,463 : x
  2. Step 2: Convert to fraction form
    58,260.50/85,463 = 85,463/x
  3. Step 3: Cross multiply
    58,260.50x = 85,463 × 85,463
  4. Step 4: Simplify right side
    58,260.50x = 7,303,924,369
  5. Step 5: Solve for x
    x = 7,303,924,369/58,260.50
  6. Step 6: Final answer
    x = 125,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.