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Finding the Third Proportional to 67,627.50 and 97,953

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Solution

The third proportional to 67,627.50 and 97,953 is: 141,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,627.50 : 97,953 = 97,953 : x
  2. Step 2: Convert to fraction form
    67,627.50/97,953 = 97,953/x
  3. Step 3: Cross multiply
    67,627.50x = 97,953 × 97,953
  4. Step 4: Simplify right side
    67,627.50x = 9,594,790,209
  5. Step 5: Solve for x
    x = 9,594,790,209/67,627.50
  6. Step 6: Final answer
    x = 141,877.05

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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.