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Finding the Third Proportional to 58,422.75 and 83,259.75

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Solution

The third proportional to 58,422.75 and 83,259.75 is: 118,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,422.75 : 83,259.75 = 83,259.75 : x
  2. Step 2: Convert to fraction form
    58,422.75/83,259.75 = 83,259.75/x
  3. Step 3: Cross multiply
    58,422.75x = 83,259.75 × 83,259.75
  4. Step 4: Simplify right side
    58,422.75x = 6,932,185,970.06
  5. Step 5: Solve for x
    x = 6,932,185,970.06/58,422.75
  6. Step 6: Final answer
    x = 118,655.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.