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Finding the Third Proportional to 71,730 and 153,220

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Solution

The third proportional to 71,730 and 153,220 is: 327,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,730 : 153,220 = 153,220 : x
  2. Step 2: Convert to fraction form
    71,730/153,220 = 153,220/x
  3. Step 3: Cross multiply
    71,730x = 153,220 × 153,220
  4. Step 4: Simplify right side
    71,730x = 23,476,368,400
  5. Step 5: Solve for x
    x = 23,476,368,400/71,730
  6. Step 6: Final answer
    x = 327,288.00

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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.