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Finding the Third Proportional to 46,129.50 and 93,069

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Solution

The third proportional to 46,129.50 and 93,069 is: 187,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,129.50 : 93,069 = 93,069 : x
  2. Step 2: Convert to fraction form
    46,129.50/93,069 = 93,069/x
  3. Step 3: Cross multiply
    46,129.50x = 93,069 × 93,069
  4. Step 4: Simplify right side
    46,129.50x = 8,661,838,761
  5. Step 5: Solve for x
    x = 8,661,838,761/46,129.50
  6. Step 6: Final answer
    x = 187,772.22

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.