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Finding the Third Proportional to 59,981 and 127,341.50

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Solution

The third proportional to 59,981 and 127,341.50 is: 270,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,981 : 127,341.50 = 127,341.50 : x
  2. Step 2: Convert to fraction form
    59,981/127,341.50 = 127,341.50/x
  3. Step 3: Cross multiply
    59,981x = 127,341.50 × 127,341.50
  4. Step 4: Simplify right side
    59,981x = 16,215,857,622.25
  5. Step 5: Solve for x
    x = 16,215,857,622.25/59,981
  6. Step 6: Final answer
    x = 270,349.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.