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Finding the Third Proportional to 58,304.25 and 90,033

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Solution

The third proportional to 58,304.25 and 90,033 is: 139,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,304.25 : 90,033 = 90,033 : x
  2. Step 2: Convert to fraction form
    58,304.25/90,033 = 90,033/x
  3. Step 3: Cross multiply
    58,304.25x = 90,033 × 90,033
  4. Step 4: Simplify right side
    58,304.25x = 8,105,941,089
  5. Step 5: Solve for x
    x = 8,105,941,089/58,304.25
  6. Step 6: Final answer
    x = 139,028.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.