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Finding the Third Proportional to 66,527 and 97,843

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Solution

The third proportional to 66,527 and 97,843 is: 143,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,527 : 97,843 = 97,843 : x
  2. Step 2: Convert to fraction form
    66,527/97,843 = 97,843/x
  3. Step 3: Cross multiply
    66,527x = 97,843 × 97,843
  4. Step 4: Simplify right side
    66,527x = 9,573,252,649
  5. Step 5: Solve for x
    x = 9,573,252,649/66,527
  6. Step 6: Final answer
    x = 143,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.