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Finding the Third Proportional to 60,402 and 132,883.50

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Solution

The third proportional to 60,402 and 132,883.50 is: 292,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,402 : 132,883.50 = 132,883.50 : x
  2. Step 2: Convert to fraction form
    60,402/132,883.50 = 132,883.50/x
  3. Step 3: Cross multiply
    60,402x = 132,883.50 × 132,883.50
  4. Step 4: Simplify right side
    60,402x = 17,658,024,572.25
  5. Step 5: Solve for x
    x = 17,658,024,572.25/60,402
  6. Step 6: Final answer
    x = 292,341.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.