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Finding the Third Proportional to 61,294 and 134,072

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Solution

The third proportional to 61,294 and 134,072 is: 293,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294 : 134,072 = 134,072 : x
  2. Step 2: Convert to fraction form
    61,294/134,072 = 134,072/x
  3. Step 3: Cross multiply
    61,294x = 134,072 × 134,072
  4. Step 4: Simplify right side
    61,294x = 17,975,301,184
  5. Step 5: Solve for x
    x = 17,975,301,184/61,294
  6. Step 6: Final answer
    x = 293,263.63

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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.