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Finding the Third Proportional to 143,070 and 212,913

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Solution

The third proportional to 143,070 and 212,913 is: 316,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070 : 212,913 = 212,913 : x
  2. Step 2: Convert to fraction form
    143,070/212,913 = 212,913/x
  3. Step 3: Cross multiply
    143,070x = 212,913 × 212,913
  4. Step 4: Simplify right side
    143,070x = 45,331,945,569
  5. Step 5: Solve for x
    x = 45,331,945,569/143,070
  6. Step 6: Final answer
    x = 316,851.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.