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Finding the Third Proportional to 58,069 and 84,862

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Solution

The third proportional to 58,069 and 84,862 is: 124,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,069 : 84,862 = 84,862 : x
  2. Step 2: Convert to fraction form
    58,069/84,862 = 84,862/x
  3. Step 3: Cross multiply
    58,069x = 84,862 × 84,862
  4. Step 4: Simplify right side
    58,069x = 7,201,559,044
  5. Step 5: Solve for x
    x = 7,201,559,044/58,069
  6. Step 6: Final answer
    x = 124,017.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.