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Finding the Third Proportional to 64,912 and 98,069

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Solution

The third proportional to 64,912 and 98,069 is: 148,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912 : 98,069 = 98,069 : x
  2. Step 2: Convert to fraction form
    64,912/98,069 = 98,069/x
  3. Step 3: Cross multiply
    64,912x = 98,069 × 98,069
  4. Step 4: Simplify right side
    64,912x = 9,617,528,761
  5. Step 5: Solve for x
    x = 9,617,528,761/64,912
  6. Step 6: Final answer
    x = 148,162.57

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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.