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Finding the Third Proportional to 45,559.13 and 106,411.50

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Solution

The third proportional to 45,559.13 and 106,411.50 is: 248,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,559.13 : 106,411.50 = 106,411.50 : x
  2. Step 2: Convert to fraction form
    45,559.13/106,411.50 = 106,411.50/x
  3. Step 3: Cross multiply
    45,559.13x = 106,411.50 × 106,411.50
  4. Step 4: Simplify right side
    45,559.13x = 11,323,407,332.25
  5. Step 5: Solve for x
    x = 11,323,407,332.25/45,559.13
  6. Step 6: Final answer
    x = 248,543.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.