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Finding the Third Proportional to 66,523 and 97,838

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Solution

The third proportional to 66,523 and 97,838 is: 143,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523 : 97,838 = 97,838 : x
  2. Step 2: Convert to fraction form
    66,523/97,838 = 97,838/x
  3. Step 3: Cross multiply
    66,523x = 97,838 × 97,838
  4. Step 4: Simplify right side
    66,523x = 9,572,274,244
  5. Step 5: Solve for x
    x = 9,572,274,244/66,523
  6. Step 6: Final answer
    x = 143,894.21

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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.