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Finding the Third Proportional to 52,998 and 112,128

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Solution

The third proportional to 52,998 and 112,128 is: 237,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 112,128 = 112,128 : x
  2. Step 2: Convert to fraction form
    52,998/112,128 = 112,128/x
  3. Step 3: Cross multiply
    52,998x = 112,128 × 112,128
  4. Step 4: Simplify right side
    52,998x = 12,572,688,384
  5. Step 5: Solve for x
    x = 12,572,688,384/52,998
  6. Step 6: Final answer
    x = 237,229.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.