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Finding the Third Proportional to 58,094 and 88,810

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Solution

The third proportional to 58,094 and 88,810 is: 135,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,094 : 88,810 = 88,810 : x
  2. Step 2: Convert to fraction form
    58,094/88,810 = 88,810/x
  3. Step 3: Cross multiply
    58,094x = 88,810 × 88,810
  4. Step 4: Simplify right side
    58,094x = 7,887,216,100
  5. Step 5: Solve for x
    x = 7,887,216,100/58,094
  6. Step 6: Final answer
    x = 135,766.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.