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Finding the Third Proportional to 52,903 and 77,662.50

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Solution

The third proportional to 52,903 and 77,662.50 is: 114,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,903 : 77,662.50 = 77,662.50 : x
  2. Step 2: Convert to fraction form
    52,903/77,662.50 = 77,662.50/x
  3. Step 3: Cross multiply
    52,903x = 77,662.50 × 77,662.50
  4. Step 4: Simplify right side
    52,903x = 6,031,463,906.25
  5. Step 5: Solve for x
    x = 6,031,463,906.25/52,903
  6. Step 6: Final answer
    x = 114,009.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.