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Finding the Third Proportional to 71,873 and 153,597

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Solution

The third proportional to 71,873 and 153,597 is: 328,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,873 : 153,597 = 153,597 : x
  2. Step 2: Convert to fraction form
    71,873/153,597 = 153,597/x
  3. Step 3: Cross multiply
    71,873x = 153,597 × 153,597
  4. Step 4: Simplify right side
    71,873x = 23,592,038,409
  5. Step 5: Solve for x
    x = 23,592,038,409/71,873
  6. Step 6: Final answer
    x = 328,246.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.