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Finding the Third Proportional to 58,382 and 128,428

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Solution

The third proportional to 58,382 and 128,428 is: 282,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,382 : 128,428 = 128,428 : x
  2. Step 2: Convert to fraction form
    58,382/128,428 = 128,428/x
  3. Step 3: Cross multiply
    58,382x = 128,428 × 128,428
  4. Step 4: Simplify right side
    58,382x = 16,493,751,184
  5. Step 5: Solve for x
    x = 16,493,751,184/58,382
  6. Step 6: Final answer
    x = 282,514.32

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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.