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Finding the Third Proportional to 56,587 and 119,370

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Solution

The third proportional to 56,587 and 119,370 is: 251,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,587 : 119,370 = 119,370 : x
  2. Step 2: Convert to fraction form
    56,587/119,370 = 119,370/x
  3. Step 3: Cross multiply
    56,587x = 119,370 × 119,370
  4. Step 4: Simplify right side
    56,587x = 14,249,196,900
  5. Step 5: Solve for x
    x = 14,249,196,900/56,587
  6. Step 6: Final answer
    x = 251,810.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.