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Finding the Third Proportional to 58,359 and 128,066

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Solution

The third proportional to 58,359 and 128,066 is: 281,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,359 : 128,066 = 128,066 : x
  2. Step 2: Convert to fraction form
    58,359/128,066 = 128,066/x
  3. Step 3: Cross multiply
    58,359x = 128,066 × 128,066
  4. Step 4: Simplify right side
    58,359x = 16,400,900,356
  5. Step 5: Solve for x
    x = 16,400,900,356/58,359
  6. Step 6: Final answer
    x = 281,034.64

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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.