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Finding the Third Proportional to 42,360 and 93,216

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Solution

The third proportional to 42,360 and 93,216 is: 205,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,360 : 93,216 = 93,216 : x
  2. Step 2: Convert to fraction form
    42,360/93,216 = 93,216/x
  3. Step 3: Cross multiply
    42,360x = 93,216 × 93,216
  4. Step 4: Simplify right side
    42,360x = 8,689,222,656
  5. Step 5: Solve for x
    x = 8,689,222,656/42,360
  6. Step 6: Final answer
    x = 205,128.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.