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Finding the Third Proportional to 56,838 and 86,046

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Solution

The third proportional to 56,838 and 86,046 is: 130,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838 : 86,046 = 86,046 : x
  2. Step 2: Convert to fraction form
    56,838/86,046 = 86,046/x
  3. Step 3: Cross multiply
    56,838x = 86,046 × 86,046
  4. Step 4: Simplify right side
    56,838x = 7,403,914,116
  5. Step 5: Solve for x
    x = 7,403,914,116/56,838
  6. Step 6: Final answer
    x = 130,263.45

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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.