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Finding the Third Proportional to 97,026 and 147,180

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Solution

The third proportional to 97,026 and 147,180 is: 223,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,026 : 147,180 = 147,180 : x
  2. Step 2: Convert to fraction form
    97,026/147,180 = 147,180/x
  3. Step 3: Cross multiply
    97,026x = 147,180 × 147,180
  4. Step 4: Simplify right side
    97,026x = 21,661,952,400
  5. Step 5: Solve for x
    x = 21,661,952,400/97,026
  6. Step 6: Final answer
    x = 223,259.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.