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Finding the Third Proportional to 67,290 and 141,547.50

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Solution

The third proportional to 67,290 and 141,547.50 is: 297,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290 : 141,547.50 = 141,547.50 : x
  2. Step 2: Convert to fraction form
    67,290/141,547.50 = 141,547.50/x
  3. Step 3: Cross multiply
    67,290x = 141,547.50 × 141,547.50
  4. Step 4: Simplify right side
    67,290x = 20,035,694,756.25
  5. Step 5: Solve for x
    x = 20,035,694,756.25/67,290
  6. Step 6: Final answer
    x = 297,751.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.