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Finding the Third Proportional to 58,490.86 and 92,975.98

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Solution

The third proportional to 58,490.86 and 92,975.98 is: 147,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,490.86 : 92,975.98 = 92,975.98 : x
  2. Step 2: Convert to fraction form
    58,490.86/92,975.98 = 92,975.98/x
  3. Step 3: Cross multiply
    58,490.86x = 92,975.98 × 92,975.98
  4. Step 4: Simplify right side
    58,490.86x = 8,644,532,217.75
  5. Step 5: Solve for x
    x = 8,644,532,217.75/58,490.86
  6. Step 6: Final answer
    x = 147,792.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.