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Finding the Third Proportional to 42,352 and 93,348

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Solution

The third proportional to 42,352 and 93,348 is: 205,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352 : 93,348 = 93,348 : x
  2. Step 2: Convert to fraction form
    42,352/93,348 = 93,348/x
  3. Step 3: Cross multiply
    42,352x = 93,348 × 93,348
  4. Step 4: Simplify right side
    42,352x = 8,713,849,104
  5. Step 5: Solve for x
    x = 8,713,849,104/42,352
  6. Step 6: Final answer
    x = 205,748.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.