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Finding the Third Proportional to 124,634 and 266,987

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Solution

The third proportional to 124,634 and 266,987 is: 571,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,634 : 266,987 = 266,987 : x
  2. Step 2: Convert to fraction form
    124,634/266,987 = 266,987/x
  3. Step 3: Cross multiply
    124,634x = 266,987 × 266,987
  4. Step 4: Simplify right side
    124,634x = 71,282,058,169
  5. Step 5: Solve for x
    x = 71,282,058,169/124,634
  6. Step 6: Final answer
    x = 571,931.08

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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.