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Finding the Third Proportional to 58,792.50 and 129,290.63

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Solution

The third proportional to 58,792.50 and 129,290.63 is: 284,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,792.50 : 129,290.63 = 129,290.63 : x
  2. Step 2: Convert to fraction form
    58,792.50/129,290.63 = 129,290.63/x
  3. Step 3: Cross multiply
    58,792.50x = 129,290.63 × 129,290.63
  4. Step 4: Simplify right side
    58,792.50x = 16,716,065,712.89
  5. Step 5: Solve for x
    x = 16,716,065,712.89/58,792.50
  6. Step 6: Final answer
    x = 284,323.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.