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Finding the Third Proportional to 89,312 and 123,030

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Solution

The third proportional to 89,312 and 123,030 is: 169,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,312 : 123,030 = 123,030 : x
  2. Step 2: Convert to fraction form
    89,312/123,030 = 123,030/x
  3. Step 3: Cross multiply
    89,312x = 123,030 × 123,030
  4. Step 4: Simplify right side
    89,312x = 15,136,380,900
  5. Step 5: Solve for x
    x = 15,136,380,900/89,312
  6. Step 6: Final answer
    x = 169,477.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.