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Finding the Third Proportional to 74,412 and 101,045.25

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Solution

The third proportional to 74,412 and 101,045.25 is: 137,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412 : 101,045.25 = 101,045.25 : x
  2. Step 2: Convert to fraction form
    74,412/101,045.25 = 101,045.25/x
  3. Step 3: Cross multiply
    74,412x = 101,045.25 × 101,045.25
  4. Step 4: Simplify right side
    74,412x = 10,210,142,547.56
  5. Step 5: Solve for x
    x = 10,210,142,547.56/74,412
  6. Step 6: Final answer
    x = 137,210.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.