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Finding the Third Proportional to 61,320 and 143,298

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Solution

The third proportional to 61,320 and 143,298 is: 334,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,320 : 143,298 = 143,298 : x
  2. Step 2: Convert to fraction form
    61,320/143,298 = 143,298/x
  3. Step 3: Cross multiply
    61,320x = 143,298 × 143,298
  4. Step 4: Simplify right side
    61,320x = 20,534,316,804
  5. Step 5: Solve for x
    x = 20,534,316,804/61,320
  6. Step 6: Final answer
    x = 334,871.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.