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Finding the Third Proportional to 58,737 and 94,575.50

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Solution

The third proportional to 58,737 and 94,575.50 is: 152,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,737 : 94,575.50 = 94,575.50 : x
  2. Step 2: Convert to fraction form
    58,737/94,575.50 = 94,575.50/x
  3. Step 3: Cross multiply
    58,737x = 94,575.50 × 94,575.50
  4. Step 4: Simplify right side
    58,737x = 8,944,525,200.25
  5. Step 5: Solve for x
    x = 8,944,525,200.25/58,737
  6. Step 6: Final answer
    x = 152,280.93

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.