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Finding the Third Proportional to 60,960 and 133,312

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Solution

The third proportional to 60,960 and 133,312 is: 291,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,960 : 133,312 = 133,312 : x
  2. Step 2: Convert to fraction form
    60,960/133,312 = 133,312/x
  3. Step 3: Cross multiply
    60,960x = 133,312 × 133,312
  4. Step 4: Simplify right side
    60,960x = 17,772,089,344
  5. Step 5: Solve for x
    x = 17,772,089,344/60,960
  6. Step 6: Final answer
    x = 291,536.90

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Why These Related Problems?

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