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Finding the Third Proportional to 46,280 and 99,587

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Solution

The third proportional to 46,280 and 99,587 is: 214,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,280 : 99,587 = 99,587 : x
  2. Step 2: Convert to fraction form
    46,280/99,587 = 99,587/x
  3. Step 3: Cross multiply
    46,280x = 99,587 × 99,587
  4. Step 4: Simplify right side
    46,280x = 9,917,570,569
  5. Step 5: Solve for x
    x = 9,917,570,569/46,280
  6. Step 6: Final answer
    x = 214,294.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.