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Finding the Third Proportional to 59,952 and 121,585

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Solution

The third proportional to 59,952 and 121,585 is: 246,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 121,585 = 121,585 : x
  2. Step 2: Convert to fraction form
    59,952/121,585 = 121,585/x
  3. Step 3: Cross multiply
    59,952x = 121,585 × 121,585
  4. Step 4: Simplify right side
    59,952x = 14,782,912,225
  5. Step 5: Solve for x
    x = 14,782,912,225/59,952
  6. Step 6: Final answer
    x = 246,579.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.