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Finding the Third Proportional to 71,020 and 153,114

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Solution

The third proportional to 71,020 and 153,114 is: 330,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020 : 153,114 = 153,114 : x
  2. Step 2: Convert to fraction form
    71,020/153,114 = 153,114/x
  3. Step 3: Cross multiply
    71,020x = 153,114 × 153,114
  4. Step 4: Simplify right side
    71,020x = 23,443,896,996
  5. Step 5: Solve for x
    x = 23,443,896,996/71,020
  6. Step 6: Final answer
    x = 330,102.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.