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Finding the Third Proportional to 48,748 and 106,417

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Solution

The third proportional to 48,748 and 106,417 is: 232,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,748 : 106,417 = 106,417 : x
  2. Step 2: Convert to fraction form
    48,748/106,417 = 106,417/x
  3. Step 3: Cross multiply
    48,748x = 106,417 × 106,417
  4. Step 4: Simplify right side
    48,748x = 11,324,577,889
  5. Step 5: Solve for x
    x = 11,324,577,889/48,748
  6. Step 6: Final answer
    x = 232,308.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.