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Finding the Third Proportional to 47,175 and 101,730

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Solution

The third proportional to 47,175 and 101,730 is: 219,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175 : 101,730 = 101,730 : x
  2. Step 2: Convert to fraction form
    47,175/101,730 = 101,730/x
  3. Step 3: Cross multiply
    47,175x = 101,730 × 101,730
  4. Step 4: Simplify right side
    47,175x = 10,348,992,900
  5. Step 5: Solve for x
    x = 10,348,992,900/47,175
  6. Step 6: Final answer
    x = 219,374.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.