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Finding the Third Proportional to 97,264 and 145,998

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Solution

The third proportional to 97,264 and 145,998 is: 219,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,264 : 145,998 = 145,998 : x
  2. Step 2: Convert to fraction form
    97,264/145,998 = 145,998/x
  3. Step 3: Cross multiply
    97,264x = 145,998 × 145,998
  4. Step 4: Simplify right side
    97,264x = 21,315,416,004
  5. Step 5: Solve for x
    x = 21,315,416,004/97,264
  6. Step 6: Final answer
    x = 219,150.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.