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Finding the Third Proportional to 56,835 and 86,042

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Solution

The third proportional to 56,835 and 86,042 is: 130,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,835 : 86,042 = 86,042 : x
  2. Step 2: Convert to fraction form
    56,835/86,042 = 86,042/x
  3. Step 3: Cross multiply
    56,835x = 86,042 × 86,042
  4. Step 4: Simplify right side
    56,835x = 7,403,225,764
  5. Step 5: Solve for x
    x = 7,403,225,764/56,835
  6. Step 6: Final answer
    x = 130,258.22

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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.