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Finding the Third Proportional to 42,926 and 89,773

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Solution

The third proportional to 42,926 and 89,773 is: 187,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926 : 89,773 = 89,773 : x
  2. Step 2: Convert to fraction form
    42,926/89,773 = 89,773/x
  3. Step 3: Cross multiply
    42,926x = 89,773 × 89,773
  4. Step 4: Simplify right side
    42,926x = 8,059,191,529
  5. Step 5: Solve for x
    x = 8,059,191,529/42,926
  6. Step 6: Final answer
    x = 187,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.