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Finding the Third Proportional to 58,274.44 and 120,695.06

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Solution

The third proportional to 58,274.44 and 120,695.06 is: 249,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,274.44 : 120,695.06 = 120,695.06 : x
  2. Step 2: Convert to fraction form
    58,274.44/120,695.06 = 120,695.06/x
  3. Step 3: Cross multiply
    58,274.44x = 120,695.06 × 120,695.06
  4. Step 4: Simplify right side
    58,274.44x = 14,567,298,111.88
  5. Step 5: Solve for x
    x = 14,567,298,111.88/58,274.44
  6. Step 6: Final answer
    x = 249,977.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.