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Finding the Third Proportional to 142,776 and 210,006

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Solution

The third proportional to 142,776 and 210,006 is: 308,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776 : 210,006 = 210,006 : x
  2. Step 2: Convert to fraction form
    142,776/210,006 = 210,006/x
  3. Step 3: Cross multiply
    142,776x = 210,006 × 210,006
  4. Step 4: Simplify right side
    142,776x = 44,102,520,036
  5. Step 5: Solve for x
    x = 44,102,520,036/142,776
  6. Step 6: Final answer
    x = 308,893.09

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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.