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Finding the Third Proportional to 83,610 and 130,963

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Solution

The third proportional to 83,610 and 130,963 is: 205,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,610 : 130,963 = 130,963 : x
  2. Step 2: Convert to fraction form
    83,610/130,963 = 130,963/x
  3. Step 3: Cross multiply
    83,610x = 130,963 × 130,963
  4. Step 4: Simplify right side
    83,610x = 17,151,307,369
  5. Step 5: Solve for x
    x = 17,151,307,369/83,610
  6. Step 6: Final answer
    x = 205,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.