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Finding the Third Proportional to 107,748 and 235,560

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Solution

The third proportional to 107,748 and 235,560 is: 514,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,748 : 235,560 = 235,560 : x
  2. Step 2: Convert to fraction form
    107,748/235,560 = 235,560/x
  3. Step 3: Cross multiply
    107,748x = 235,560 × 235,560
  4. Step 4: Simplify right side
    107,748x = 55,488,513,600
  5. Step 5: Solve for x
    x = 55,488,513,600/107,748
  6. Step 6: Final answer
    x = 514,984.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.