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Finding the Third Proportional to 101,386.69 and 146,853

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Solution

The third proportional to 101,386.69 and 146,853 is: 212,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,386.69 : 146,853 = 146,853 : x
  2. Step 2: Convert to fraction form
    101,386.69/146,853 = 146,853/x
  3. Step 3: Cross multiply
    101,386.69x = 146,853 × 146,853
  4. Step 4: Simplify right side
    101,386.69x = 21,565,803,609
  5. Step 5: Solve for x
    x = 21,565,803,609/101,386.69
  6. Step 6: Final answer
    x = 212,708.43

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.