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Finding the Third Proportional to 59,480 and 87,574

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Solution

The third proportional to 59,480 and 87,574 is: 128,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,480 : 87,574 = 87,574 : x
  2. Step 2: Convert to fraction form
    59,480/87,574 = 87,574/x
  3. Step 3: Cross multiply
    59,480x = 87,574 × 87,574
  4. Step 4: Simplify right side
    59,480x = 7,669,205,476
  5. Step 5: Solve for x
    x = 7,669,205,476/59,480
  6. Step 6: Final answer
    x = 128,937.55

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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.