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Finding the Third Proportional to 42,282 and 93,312

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Solution

The third proportional to 42,282 and 93,312 is: 205,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,282 : 93,312 = 93,312 : x
  2. Step 2: Convert to fraction form
    42,282/93,312 = 93,312/x
  3. Step 3: Cross multiply
    42,282x = 93,312 × 93,312
  4. Step 4: Simplify right side
    42,282x = 8,707,129,344
  5. Step 5: Solve for x
    x = 8,707,129,344/42,282
  6. Step 6: Final answer
    x = 205,929.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.