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Finding the Third Proportional to 58,731 and 90,976.50

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Solution

The third proportional to 58,731 and 90,976.50 is: 140,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,731 : 90,976.50 = 90,976.50 : x
  2. Step 2: Convert to fraction form
    58,731/90,976.50 = 90,976.50/x
  3. Step 3: Cross multiply
    58,731x = 90,976.50 × 90,976.50
  4. Step 4: Simplify right side
    58,731x = 8,276,723,552.25
  5. Step 5: Solve for x
    x = 8,276,723,552.25/58,731
  6. Step 6: Final answer
    x = 140,925.98

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