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Finding the Third Proportional to 56,345.63 and 87,206.63

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Solution

The third proportional to 56,345.63 and 87,206.63 is: 134,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,345.63 : 87,206.63 = 87,206.63 : x
  2. Step 2: Convert to fraction form
    56,345.63/87,206.63 = 87,206.63/x
  3. Step 3: Cross multiply
    56,345.63x = 87,206.63 × 87,206.63
  4. Step 4: Simplify right side
    56,345.63x = 7,604,995,443.89
  5. Step 5: Solve for x
    x = 7,604,995,443.89/56,345.63
  6. Step 6: Final answer
    x = 134,970.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.