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Finding the Third Proportional to 56,898 and 86,133

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Solution

The third proportional to 56,898 and 86,133 is: 130,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,898 : 86,133 = 86,133 : x
  2. Step 2: Convert to fraction form
    56,898/86,133 = 86,133/x
  3. Step 3: Cross multiply
    56,898x = 86,133 × 86,133
  4. Step 4: Simplify right side
    56,898x = 7,418,893,689
  5. Step 5: Solve for x
    x = 7,418,893,689/56,898
  6. Step 6: Final answer
    x = 130,389.36

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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.