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Finding the Third Proportional to 57,521 and 134,460.50

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Solution

The third proportional to 57,521 and 134,460.50 is: 314,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,521 : 134,460.50 = 134,460.50 : x
  2. Step 2: Convert to fraction form
    57,521/134,460.50 = 134,460.50/x
  3. Step 3: Cross multiply
    57,521x = 134,460.50 × 134,460.50
  4. Step 4: Simplify right side
    57,521x = 18,079,626,060.25
  5. Step 5: Solve for x
    x = 18,079,626,060.25/57,521
  6. Step 6: Final answer
    x = 314,313.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.