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Finding the Third Proportional to 58,528 and 128,207

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Solution

The third proportional to 58,528 and 128,207 is: 280,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,528 : 128,207 = 128,207 : x
  2. Step 2: Convert to fraction form
    58,528/128,207 = 128,207/x
  3. Step 3: Cross multiply
    58,528x = 128,207 × 128,207
  4. Step 4: Simplify right side
    58,528x = 16,437,034,849
  5. Step 5: Solve for x
    x = 16,437,034,849/58,528
  6. Step 6: Final answer
    x = 280,840.54

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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.