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Finding the Third Proportional to 124,725 and 237,957

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Solution

The third proportional to 124,725 and 237,957 is: 453,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,725 : 237,957 = 237,957 : x
  2. Step 2: Convert to fraction form
    124,725/237,957 = 237,957/x
  3. Step 3: Cross multiply
    124,725x = 237,957 × 237,957
  4. Step 4: Simplify right side
    124,725x = 56,623,533,849
  5. Step 5: Solve for x
    x = 56,623,533,849/124,725
  6. Step 6: Final answer
    x = 453,987.04

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.