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Finding the Third Proportional to 101,746.50 and 149,677.50

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Solution

The third proportional to 101,746.50 and 149,677.50 is: 220,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.50 : 149,677.50 = 149,677.50 : x
  2. Step 2: Convert to fraction form
    101,746.50/149,677.50 = 149,677.50/x
  3. Step 3: Cross multiply
    101,746.50x = 149,677.50 × 149,677.50
  4. Step 4: Simplify right side
    101,746.50x = 22,403,354,006.25
  5. Step 5: Solve for x
    x = 22,403,354,006.25/101,746.50
  6. Step 6: Final answer
    x = 220,187.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.