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Finding the Third Proportional to 46,102.50 and 93,897

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Solution

The third proportional to 46,102.50 and 93,897 is: 191,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102.50 : 93,897 = 93,897 : x
  2. Step 2: Convert to fraction form
    46,102.50/93,897 = 93,897/x
  3. Step 3: Cross multiply
    46,102.50x = 93,897 × 93,897
  4. Step 4: Simplify right side
    46,102.50x = 8,816,646,609
  5. Step 5: Solve for x
    x = 8,816,646,609/46,102.50
  6. Step 6: Final answer
    x = 191,240.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.