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Finding the Third Proportional to 61,070 and 133,948

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Solution

The third proportional to 61,070 and 133,948 is: 293,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,070 : 133,948 = 133,948 : x
  2. Step 2: Convert to fraction form
    61,070/133,948 = 133,948/x
  3. Step 3: Cross multiply
    61,070x = 133,948 × 133,948
  4. Step 4: Simplify right side
    61,070x = 17,942,066,704
  5. Step 5: Solve for x
    x = 17,942,066,704/61,070
  6. Step 6: Final answer
    x = 293,795.10

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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.