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Finding the Third Proportional to 66,657 and 93,748.50

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Solution

The third proportional to 66,657 and 93,748.50 is: 131,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,657 : 93,748.50 = 93,748.50 : x
  2. Step 2: Convert to fraction form
    66,657/93,748.50 = 93,748.50/x
  3. Step 3: Cross multiply
    66,657x = 93,748.50 × 93,748.50
  4. Step 4: Simplify right side
    66,657x = 8,788,781,252.25
  5. Step 5: Solve for x
    x = 8,788,781,252.25/66,657
  6. Step 6: Final answer
    x = 131,850.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.