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Finding the Third Proportional to 58,345.75 and 90,518.75

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Solution

The third proportional to 58,345.75 and 90,518.75 is: 140,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,345.75 : 90,518.75 = 90,518.75 : x
  2. Step 2: Convert to fraction form
    58,345.75/90,518.75 = 90,518.75/x
  3. Step 3: Cross multiply
    58,345.75x = 90,518.75 × 90,518.75
  4. Step 4: Simplify right side
    58,345.75x = 8,193,644,101.56
  5. Step 5: Solve for x
    x = 8,193,644,101.56/58,345.75
  6. Step 6: Final answer
    x = 140,432.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.