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Finding the Third Proportional to 58,275 and 85,485

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Solution

The third proportional to 58,275 and 85,485 is: 125,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,275 : 85,485 = 85,485 : x
  2. Step 2: Convert to fraction form
    58,275/85,485 = 85,485/x
  3. Step 3: Cross multiply
    58,275x = 85,485 × 85,485
  4. Step 4: Simplify right side
    58,275x = 7,307,685,225
  5. Step 5: Solve for x
    x = 7,307,685,225/58,275
  6. Step 6: Final answer
    x = 125,400.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.