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Finding the Third Proportional to 67,511 and 147,730

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Solution

The third proportional to 67,511 and 147,730 is: 323,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,511 : 147,730 = 147,730 : x
  2. Step 2: Convert to fraction form
    67,511/147,730 = 147,730/x
  3. Step 3: Cross multiply
    67,511x = 147,730 × 147,730
  4. Step 4: Simplify right side
    67,511x = 21,824,152,900
  5. Step 5: Solve for x
    x = 21,824,152,900/67,511
  6. Step 6: Final answer
    x = 323,268.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.