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Finding the Third Proportional to 66,440 and 97,102

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Solution

The third proportional to 66,440 and 97,102 is: 141,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,440 : 97,102 = 97,102 : x
  2. Step 2: Convert to fraction form
    66,440/97,102 = 97,102/x
  3. Step 3: Cross multiply
    66,440x = 97,102 × 97,102
  4. Step 4: Simplify right side
    66,440x = 9,428,798,404
  5. Step 5: Solve for x
    x = 9,428,798,404/66,440
  6. Step 6: Final answer
    x = 141,914.49

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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.