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Finding the Third Proportional to 142,932 and 210,118

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Solution

The third proportional to 142,932 and 210,118 is: 308,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,932 : 210,118 = 210,118 : x
  2. Step 2: Convert to fraction form
    142,932/210,118 = 210,118/x
  3. Step 3: Cross multiply
    142,932x = 210,118 × 210,118
  4. Step 4: Simplify right side
    142,932x = 44,149,573,924
  5. Step 5: Solve for x
    x = 44,149,573,924/142,932
  6. Step 6: Final answer
    x = 308,885.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.