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Finding the Third Proportional to 46,098.56 and 72,001.13

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Solution

The third proportional to 46,098.56 and 72,001.13 is: 112,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,098.56 : 72,001.13 = 72,001.13 : x
  2. Step 2: Convert to fraction form
    46,098.56/72,001.13 = 72,001.13/x
  3. Step 3: Cross multiply
    46,098.56x = 72,001.13 × 72,001.13
  4. Step 4: Simplify right side
    46,098.56x = 5,184,162,001.27
  5. Step 5: Solve for x
    x = 5,184,162,001.27/46,098.56
  6. Step 6: Final answer
    x = 112,458.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.