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Finding the Third Proportional to 142,935 and 210,123

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Solution

The third proportional to 142,935 and 210,123 is: 308,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,935 : 210,123 = 210,123 : x
  2. Step 2: Convert to fraction form
    142,935/210,123 = 210,123/x
  3. Step 3: Cross multiply
    142,935x = 210,123 × 210,123
  4. Step 4: Simplify right side
    142,935x = 44,151,675,129
  5. Step 5: Solve for x
    x = 44,151,675,129/142,935
  6. Step 6: Final answer
    x = 308,893.38

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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.