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Finding the Third Proportional to 124,748 and 266,668

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Solution

The third proportional to 124,748 and 266,668 is: 570,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,748 : 266,668 = 266,668 : x
  2. Step 2: Convert to fraction form
    124,748/266,668 = 266,668/x
  3. Step 3: Cross multiply
    124,748x = 266,668 × 266,668
  4. Step 4: Simplify right side
    124,748x = 71,111,822,224
  5. Step 5: Solve for x
    x = 71,111,822,224/124,748
  6. Step 6: Final answer
    x = 570,043.79

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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.