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Finding the Third Proportional to 58,449 and 85,486.50

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Solution

The third proportional to 58,449 and 85,486.50 is: 125,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,449 : 85,486.50 = 85,486.50 : x
  2. Step 2: Convert to fraction form
    58,449/85,486.50 = 85,486.50/x
  3. Step 3: Cross multiply
    58,449x = 85,486.50 × 85,486.50
  4. Step 4: Simplify right side
    58,449x = 7,307,941,682.25
  5. Step 5: Solve for x
    x = 7,307,941,682.25/58,449
  6. Step 6: Final answer
    x = 125,031.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.