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Finding the Third Proportional to 59,310 and 92,250

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Solution

The third proportional to 59,310 and 92,250 is: 143,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,310 : 92,250 = 92,250 : x
  2. Step 2: Convert to fraction form
    59,310/92,250 = 92,250/x
  3. Step 3: Cross multiply
    59,310x = 92,250 × 92,250
  4. Step 4: Simplify right side
    59,310x = 8,510,062,500
  5. Step 5: Solve for x
    x = 8,510,062,500/59,310
  6. Step 6: Final answer
    x = 143,484.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.