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Finding the Third Proportional to 97,526 and 145,649

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Solution

The third proportional to 97,526 and 145,649 is: 217,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,526 : 145,649 = 145,649 : x
  2. Step 2: Convert to fraction form
    97,526/145,649 = 145,649/x
  3. Step 3: Cross multiply
    97,526x = 145,649 × 145,649
  4. Step 4: Simplify right side
    97,526x = 21,213,631,201
  5. Step 5: Solve for x
    x = 21,213,631,201/97,526
  6. Step 6: Final answer
    x = 217,517.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.