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Finding the Third Proportional to 96,130 and 145,629

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Solution

The third proportional to 96,130 and 145,629 is: 220,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130 : 145,629 = 145,629 : x
  2. Step 2: Convert to fraction form
    96,130/145,629 = 145,629/x
  3. Step 3: Cross multiply
    96,130x = 145,629 × 145,629
  4. Step 4: Simplify right side
    96,130x = 21,207,805,641
  5. Step 5: Solve for x
    x = 21,207,805,641/96,130
  6. Step 6: Final answer
    x = 220,615.89

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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.