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Finding the Third Proportional to 97,302 and 147,915

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Solution

The third proportional to 97,302 and 147,915 is: 224,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,302 : 147,915 = 147,915 : x
  2. Step 2: Convert to fraction form
    97,302/147,915 = 147,915/x
  3. Step 3: Cross multiply
    97,302x = 147,915 × 147,915
  4. Step 4: Simplify right side
    97,302x = 21,878,847,225
  5. Step 5: Solve for x
    x = 21,878,847,225/97,302
  6. Step 6: Final answer
    x = 224,855.06

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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.