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Finding the Third Proportional to 58,334 and 120,556

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Solution

The third proportional to 58,334 and 120,556 is: 249,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334 : 120,556 = 120,556 : x
  2. Step 2: Convert to fraction form
    58,334/120,556 = 120,556/x
  3. Step 3: Cross multiply
    58,334x = 120,556 × 120,556
  4. Step 4: Simplify right side
    58,334x = 14,533,749,136
  5. Step 5: Solve for x
    x = 14,533,749,136/58,334
  6. Step 6: Final answer
    x = 249,147.14

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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.