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Finding the Third Proportional to 61,461 and 134,046

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Solution

The third proportional to 61,461 and 134,046 is: 292,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 134,046 = 134,046 : x
  2. Step 2: Convert to fraction form
    61,461/134,046 = 134,046/x
  3. Step 3: Cross multiply
    61,461x = 134,046 × 134,046
  4. Step 4: Simplify right side
    61,461x = 17,968,330,116
  5. Step 5: Solve for x
    x = 17,968,330,116/61,461
  6. Step 6: Final answer
    x = 292,353.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.