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Finding the Third Proportional to 64,834 and 97,715

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Solution

The third proportional to 64,834 and 97,715 is: 147,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834 : 97,715 = 97,715 : x
  2. Step 2: Convert to fraction form
    64,834/97,715 = 97,715/x
  3. Step 3: Cross multiply
    64,834x = 97,715 × 97,715
  4. Step 4: Simplify right side
    64,834x = 9,548,221,225
  5. Step 5: Solve for x
    x = 9,548,221,225/64,834
  6. Step 6: Final answer
    x = 147,271.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.