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Finding the Third Proportional to 61,850 and 93,348

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Solution

The third proportional to 61,850 and 93,348 is: 140,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,850 : 93,348 = 93,348 : x
  2. Step 2: Convert to fraction form
    61,850/93,348 = 93,348/x
  3. Step 3: Cross multiply
    61,850x = 93,348 × 93,348
  4. Step 4: Simplify right side
    61,850x = 8,713,849,104
  5. Step 5: Solve for x
    x = 8,713,849,104/61,850
  6. Step 6: Final answer
    x = 140,886.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.