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Finding the Third Proportional to 58,396 and 89,862

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Solution

The third proportional to 58,396 and 89,862 is: 138,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,396 : 89,862 = 89,862 : x
  2. Step 2: Convert to fraction form
    58,396/89,862 = 89,862/x
  3. Step 3: Cross multiply
    58,396x = 89,862 × 89,862
  4. Step 4: Simplify right side
    58,396x = 8,075,179,044
  5. Step 5: Solve for x
    x = 8,075,179,044/58,396
  6. Step 6: Final answer
    x = 138,283.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.