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Finding the Third Proportional to 61,145.72 and 96,643.13

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Solution

The third proportional to 61,145.72 and 96,643.13 is: 152,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,145.72 : 96,643.13 = 96,643.13 : x
  2. Step 2: Convert to fraction form
    61,145.72/96,643.13 = 96,643.13/x
  3. Step 3: Cross multiply
    61,145.72x = 96,643.13 × 96,643.13
  4. Step 4: Simplify right side
    61,145.72x = 9,339,893,609.77
  5. Step 5: Solve for x
    x = 9,339,893,609.77/61,145.72
  6. Step 6: Final answer
    x = 152,748.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.