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Finding the Third Proportional to 88,827.75 and 136,672.50

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Solution

The third proportional to 88,827.75 and 136,672.50 is: 210,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,827.75 : 136,672.50 = 136,672.50 : x
  2. Step 2: Convert to fraction form
    88,827.75/136,672.50 = 136,672.50/x
  3. Step 3: Cross multiply
    88,827.75x = 136,672.50 × 136,672.50
  4. Step 4: Simplify right side
    88,827.75x = 18,679,372,256.25
  5. Step 5: Solve for x
    x = 18,679,372,256.25/88,827.75
  6. Step 6: Final answer
    x = 210,287.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.