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Finding the Third Proportional to 58,622.25 and 90,829.50

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Solution

The third proportional to 58,622.25 and 90,829.50 is: 140,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,622.25 : 90,829.50 = 90,829.50 : x
  2. Step 2: Convert to fraction form
    58,622.25/90,829.50 = 90,829.50/x
  3. Step 3: Cross multiply
    58,622.25x = 90,829.50 × 90,829.50
  4. Step 4: Simplify right side
    58,622.25x = 8,249,998,070.25
  5. Step 5: Solve for x
    x = 8,249,998,070.25/58,622.25
  6. Step 6: Final answer
    x = 140,731.52

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