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Finding the Third Proportional to 66,527 and 97,198.50

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Solution

The third proportional to 66,527 and 97,198.50 is: 142,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,527 : 97,198.50 = 97,198.50 : x
  2. Step 2: Convert to fraction form
    66,527/97,198.50 = 97,198.50/x
  3. Step 3: Cross multiply
    66,527x = 97,198.50 × 97,198.50
  4. Step 4: Simplify right side
    66,527x = 9,447,548,402.25
  5. Step 5: Solve for x
    x = 9,447,548,402.25/66,527
  6. Step 6: Final answer
    x = 142,010.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.