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Finding the Third Proportional to 52,428 and 113,160

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Solution

The third proportional to 52,428 and 113,160 is: 244,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,428 : 113,160 = 113,160 : x
  2. Step 2: Convert to fraction form
    52,428/113,160 = 113,160/x
  3. Step 3: Cross multiply
    52,428x = 113,160 × 113,160
  4. Step 4: Simplify right side
    52,428x = 12,805,185,600
  5. Step 5: Solve for x
    x = 12,805,185,600/52,428
  6. Step 6: Final answer
    x = 244,243.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.