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Finding the Third Proportional to 106,047 and 155,506

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Solution

The third proportional to 106,047 and 155,506 is: 228,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047 : 155,506 = 155,506 : x
  2. Step 2: Convert to fraction form
    106,047/155,506 = 155,506/x
  3. Step 3: Cross multiply
    106,047x = 155,506 × 155,506
  4. Step 4: Simplify right side
    106,047x = 24,182,116,036
  5. Step 5: Solve for x
    x = 24,182,116,036/106,047
  6. Step 6: Final answer
    x = 228,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.