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Finding the Third Proportional to 46,120 and 99,506

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Solution

The third proportional to 46,120 and 99,506 is: 214,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120 : 99,506 = 99,506 : x
  2. Step 2: Convert to fraction form
    46,120/99,506 = 99,506/x
  3. Step 3: Cross multiply
    46,120x = 99,506 × 99,506
  4. Step 4: Simplify right side
    46,120x = 9,901,444,036
  5. Step 5: Solve for x
    x = 9,901,444,036/46,120
  6. Step 6: Final answer
    x = 214,688.73

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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.