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Finding the Third Proportional to 58,533.50 and 124,033

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Solution

The third proportional to 58,533.50 and 124,033 is: 262,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,533.50 : 124,033 = 124,033 : x
  2. Step 2: Convert to fraction form
    58,533.50/124,033 = 124,033/x
  3. Step 3: Cross multiply
    58,533.50x = 124,033 × 124,033
  4. Step 4: Simplify right side
    58,533.50x = 15,384,185,089
  5. Step 5: Solve for x
    x = 15,384,185,089/58,533.50
  6. Step 6: Final answer
    x = 262,827.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.