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Finding the Third Proportional to 62,457 and 99,897

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Solution

The third proportional to 62,457 and 99,897 is: 159,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,457 : 99,897 = 99,897 : x
  2. Step 2: Convert to fraction form
    62,457/99,897 = 99,897/x
  3. Step 3: Cross multiply
    62,457x = 99,897 × 99,897
  4. Step 4: Simplify right side
    62,457x = 9,979,410,609
  5. Step 5: Solve for x
    x = 9,979,410,609/62,457
  6. Step 6: Final answer
    x = 159,780.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.