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Finding the Third Proportional to 61,290 and 128,776.50

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Solution

The third proportional to 61,290 and 128,776.50 is: 270,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 128,776.50 = 128,776.50 : x
  2. Step 2: Convert to fraction form
    61,290/128,776.50 = 128,776.50/x
  3. Step 3: Cross multiply
    61,290x = 128,776.50 × 128,776.50
  4. Step 4: Simplify right side
    61,290x = 16,583,386,952.25
  5. Step 5: Solve for x
    x = 16,583,386,952.25/61,290
  6. Step 6: Final answer
    x = 270,572.47

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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.