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Finding the Third Proportional to 58,699.69 and 128,476.13

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Solution

The third proportional to 58,699.69 and 128,476.13 is: 281,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,699.69 : 128,476.13 = 128,476.13 : x
  2. Step 2: Convert to fraction form
    58,699.69/128,476.13 = 128,476.13/x
  3. Step 3: Cross multiply
    58,699.69x = 128,476.13 × 128,476.13
  4. Step 4: Simplify right side
    58,699.69x = 16,506,114,695.02
  5. Step 5: Solve for x
    x = 16,506,114,695.02/58,699.69
  6. Step 6: Final answer
    x = 281,195.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.