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Finding the Third Proportional to 58,435 and 85,786

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Solution

The third proportional to 58,435 and 85,786 is: 125,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,435 : 85,786 = 85,786 : x
  2. Step 2: Convert to fraction form
    58,435/85,786 = 85,786/x
  3. Step 3: Cross multiply
    58,435x = 85,786 × 85,786
  4. Step 4: Simplify right side
    58,435x = 7,359,237,796
  5. Step 5: Solve for x
    x = 7,359,237,796/58,435
  6. Step 6: Final answer
    x = 125,938.87

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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.