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Finding the Third Proportional to 142,929 and 210,111

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Solution

The third proportional to 142,929 and 210,111 is: 308,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,929 : 210,111 = 210,111 : x
  2. Step 2: Convert to fraction form
    142,929/210,111 = 210,111/x
  3. Step 3: Cross multiply
    142,929x = 210,111 × 210,111
  4. Step 4: Simplify right side
    142,929x = 44,146,632,321
  5. Step 5: Solve for x
    x = 44,146,632,321/142,929
  6. Step 6: Final answer
    x = 308,871.06

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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.