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Finding the Third Proportional to 58,341 and 120,570

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Solution

The third proportional to 58,341 and 120,570 is: 249,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,341 : 120,570 = 120,570 : x
  2. Step 2: Convert to fraction form
    58,341/120,570 = 120,570/x
  3. Step 3: Cross multiply
    58,341x = 120,570 × 120,570
  4. Step 4: Simplify right side
    58,341x = 14,537,124,900
  5. Step 5: Solve for x
    x = 14,537,124,900/58,341
  6. Step 6: Final answer
    x = 249,175.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.