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Finding the Third Proportional to 58,298.91 and 128,849.06

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Solution

The third proportional to 58,298.91 and 128,849.06 is: 284,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,298.91 : 128,849.06 = 128,849.06 : x
  2. Step 2: Convert to fraction form
    58,298.91/128,849.06 = 128,849.06/x
  3. Step 3: Cross multiply
    58,298.91x = 128,849.06 × 128,849.06
  4. Step 4: Simplify right side
    58,298.91x = 16,602,080,907.13
  5. Step 5: Solve for x
    x = 16,602,080,907.13/58,298.91
  6. Step 6: Final answer
    x = 284,775.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.