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Finding the Third Proportional to 103,701 and 211,776

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Solution

The third proportional to 103,701 and 211,776 is: 432,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,701 : 211,776 = 211,776 : x
  2. Step 2: Convert to fraction form
    103,701/211,776 = 211,776/x
  3. Step 3: Cross multiply
    103,701x = 211,776 × 211,776
  4. Step 4: Simplify right side
    103,701x = 44,849,074,176
  5. Step 5: Solve for x
    x = 44,849,074,176/103,701
  6. Step 6: Final answer
    x = 432,484.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.