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Finding the Third Proportional to 64,510 and 97,738

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Solution

The third proportional to 64,510 and 97,738 is: 148,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,510 : 97,738 = 97,738 : x
  2. Step 2: Convert to fraction form
    64,510/97,738 = 97,738/x
  3. Step 3: Cross multiply
    64,510x = 97,738 × 97,738
  4. Step 4: Simplify right side
    64,510x = 9,552,716,644
  5. Step 5: Solve for x
    x = 9,552,716,644/64,510
  6. Step 6: Final answer
    x = 148,081.18

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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.