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Finding the Third Proportional to 34,176.94 and 74,482.03

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Solution

The third proportional to 34,176.94 and 74,482.03 is: 162,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.94 : 74,482.03 = 74,482.03 : x
  2. Step 2: Convert to fraction form
    34,176.94/74,482.03 = 74,482.03/x
  3. Step 3: Cross multiply
    34,176.94x = 74,482.03 × 74,482.03
  4. Step 4: Simplify right side
    34,176.94x = 5,547,572,979.13
  5. Step 5: Solve for x
    x = 5,547,572,979.13/34,176.94
  6. Step 6: Final answer
    x = 162,319.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.