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Finding the Third Proportional to 56,957.50 and 90,904

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Solution

The third proportional to 56,957.50 and 90,904 is: 145,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,957.50 : 90,904 = 90,904 : x
  2. Step 2: Convert to fraction form
    56,957.50/90,904 = 90,904/x
  3. Step 3: Cross multiply
    56,957.50x = 90,904 × 90,904
  4. Step 4: Simplify right side
    56,957.50x = 8,263,537,216
  5. Step 5: Solve for x
    x = 8,263,537,216/56,957.50
  6. Step 6: Final answer
    x = 145,082.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.