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Finding the Third Proportional to 52,160 and 74,746

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Solution

The third proportional to 52,160 and 74,746 is: 107,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 74,746 = 74,746 : x
  2. Step 2: Convert to fraction form
    52,160/74,746 = 74,746/x
  3. Step 3: Cross multiply
    52,160x = 74,746 × 74,746
  4. Step 4: Simplify right side
    52,160x = 5,586,964,516
  5. Step 5: Solve for x
    x = 5,586,964,516/52,160
  6. Step 6: Final answer
    x = 107,112.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.