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Finding the Third Proportional to 46,374 and 101,028

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Solution

The third proportional to 46,374 and 101,028 is: 220,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,374 : 101,028 = 101,028 : x
  2. Step 2: Convert to fraction form
    46,374/101,028 = 101,028/x
  3. Step 3: Cross multiply
    46,374x = 101,028 × 101,028
  4. Step 4: Simplify right side
    46,374x = 10,206,656,784
  5. Step 5: Solve for x
    x = 10,206,656,784/46,374
  6. Step 6: Final answer
    x = 220,094.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.