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Finding the Third Proportional to 60,127.50 and 95,205

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Solution

The third proportional to 60,127.50 and 95,205 is: 150,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,127.50 : 95,205 = 95,205 : x
  2. Step 2: Convert to fraction form
    60,127.50/95,205 = 95,205/x
  3. Step 3: Cross multiply
    60,127.50x = 95,205 × 95,205
  4. Step 4: Simplify right side
    60,127.50x = 9,063,992,025
  5. Step 5: Solve for x
    x = 9,063,992,025/60,127.50
  6. Step 6: Final answer
    x = 150,746.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.