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Finding the Third Proportional to 70,737 and 153,915

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Solution

The third proportional to 70,737 and 153,915 is: 334,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,737 : 153,915 = 153,915 : x
  2. Step 2: Convert to fraction form
    70,737/153,915 = 153,915/x
  3. Step 3: Cross multiply
    70,737x = 153,915 × 153,915
  4. Step 4: Simplify right side
    70,737x = 23,689,827,225
  5. Step 5: Solve for x
    x = 23,689,827,225/70,737
  6. Step 6: Final answer
    x = 334,900.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.