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Finding the Third Proportional to 42,480 and 90,020

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Solution

The third proportional to 42,480 and 90,020 is: 190,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480 : 90,020 = 90,020 : x
  2. Step 2: Convert to fraction form
    42,480/90,020 = 90,020/x
  3. Step 3: Cross multiply
    42,480x = 90,020 × 90,020
  4. Step 4: Simplify right side
    42,480x = 8,103,600,400
  5. Step 5: Solve for x
    x = 8,103,600,400/42,480
  6. Step 6: Final answer
    x = 190,762.72

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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.