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Finding the Third Proportional to 71,127 and 153,281.25

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Solution

The third proportional to 71,127 and 153,281.25 is: 330,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 153,281.25 = 153,281.25 : x
  2. Step 2: Convert to fraction form
    71,127/153,281.25 = 153,281.25/x
  3. Step 3: Cross multiply
    71,127x = 153,281.25 × 153,281.25
  4. Step 4: Simplify right side
    71,127x = 23,495,141,601.56
  5. Step 5: Solve for x
    x = 23,495,141,601.56/71,127
  6. Step 6: Final answer
    x = 330,326.62

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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.