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Finding the Third Proportional to 88,209 and 127,777.50

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Solution

The third proportional to 88,209 and 127,777.50 is: 185,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209 : 127,777.50 = 127,777.50 : x
  2. Step 2: Convert to fraction form
    88,209/127,777.50 = 127,777.50/x
  3. Step 3: Cross multiply
    88,209x = 127,777.50 × 127,777.50
  4. Step 4: Simplify right side
    88,209x = 16,327,089,506.25
  5. Step 5: Solve for x
    x = 16,327,089,506.25/88,209
  6. Step 6: Final answer
    x = 185,095.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.