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Finding the Third Proportional to 59,049 and 98,415

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Solution

The third proportional to 59,049 and 98,415 is: 164,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049 : 98,415 = 98,415 : x
  2. Step 2: Convert to fraction form
    59,049/98,415 = 98,415/x
  3. Step 3: Cross multiply
    59,049x = 98,415 × 98,415
  4. Step 4: Simplify right side
    59,049x = 9,685,512,225
  5. Step 5: Solve for x
    x = 9,685,512,225/59,049
  6. Step 6: Final answer
    x = 164,025

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.