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Finding the Third Proportional to 88,099 and 125,587.50

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Solution

The third proportional to 88,099 and 125,587.50 is: 179,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,099 : 125,587.50 = 125,587.50 : x
  2. Step 2: Convert to fraction form
    88,099/125,587.50 = 125,587.50/x
  3. Step 3: Cross multiply
    88,099x = 125,587.50 × 125,587.50
  4. Step 4: Simplify right side
    88,099x = 15,772,220,156.25
  5. Step 5: Solve for x
    x = 15,772,220,156.25/88,099
  6. Step 6: Final answer
    x = 179,028.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.