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Finding the Third Proportional to 66,076 and 102,342

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Solution

The third proportional to 66,076 and 102,342 is: 158,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,076 : 102,342 = 102,342 : x
  2. Step 2: Convert to fraction form
    66,076/102,342 = 102,342/x
  3. Step 3: Cross multiply
    66,076x = 102,342 × 102,342
  4. Step 4: Simplify right side
    66,076x = 10,473,884,964
  5. Step 5: Solve for x
    x = 10,473,884,964/66,076
  6. Step 6: Final answer
    x = 158,512.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.