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Finding the Third Proportional to 64,946 and 98,121

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Solution

The third proportional to 64,946 and 98,121 is: 148,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,946 : 98,121 = 98,121 : x
  2. Step 2: Convert to fraction form
    64,946/98,121 = 98,121/x
  3. Step 3: Cross multiply
    64,946x = 98,121 × 98,121
  4. Step 4: Simplify right side
    64,946x = 9,627,730,641
  5. Step 5: Solve for x
    x = 9,627,730,641/64,946
  6. Step 6: Final answer
    x = 148,242.09

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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.