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Finding the Third Proportional to 64,772 and 141,550

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Solution

The third proportional to 64,772 and 141,550 is: 309,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,772 : 141,550 = 141,550 : x
  2. Step 2: Convert to fraction form
    64,772/141,550 = 141,550/x
  3. Step 3: Cross multiply
    64,772x = 141,550 × 141,550
  4. Step 4: Simplify right side
    64,772x = 20,036,402,500
  5. Step 5: Solve for x
    x = 20,036,402,500/64,772
  6. Step 6: Final answer
    x = 309,337.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.