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Finding the Third Proportional to 66,214 and 94,587

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Solution

The third proportional to 66,214 and 94,587 is: 135,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,214 : 94,587 = 94,587 : x
  2. Step 2: Convert to fraction form
    66,214/94,587 = 94,587/x
  3. Step 3: Cross multiply
    66,214x = 94,587 × 94,587
  4. Step 4: Simplify right side
    66,214x = 8,946,700,569
  5. Step 5: Solve for x
    x = 8,946,700,569/66,214
  6. Step 6: Final answer
    x = 135,117.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.