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Finding the Third Proportional to 77,265 and 119,572

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Solution

The third proportional to 77,265 and 119,572 is: 185,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,265 : 119,572 = 119,572 : x
  2. Step 2: Convert to fraction form
    77,265/119,572 = 119,572/x
  3. Step 3: Cross multiply
    77,265x = 119,572 × 119,572
  4. Step 4: Simplify right side
    77,265x = 14,297,463,184
  5. Step 5: Solve for x
    x = 14,297,463,184/77,265
  6. Step 6: Final answer
    x = 185,044.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.