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Finding the Third Proportional to 57,598 and 90,160

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Solution

The third proportional to 57,598 and 90,160 is: 141,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,598 : 90,160 = 90,160 : x
  2. Step 2: Convert to fraction form
    57,598/90,160 = 90,160/x
  3. Step 3: Cross multiply
    57,598x = 90,160 × 90,160
  4. Step 4: Simplify right side
    57,598x = 8,128,825,600
  5. Step 5: Solve for x
    x = 8,128,825,600/57,598
  6. Step 6: Final answer
    x = 141,130.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.