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Finding the Third Proportional to 63,585 and 94,297.50

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Solution

The third proportional to 63,585 and 94,297.50 is: 139,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,585 : 94,297.50 = 94,297.50 : x
  2. Step 2: Convert to fraction form
    63,585/94,297.50 = 94,297.50/x
  3. Step 3: Cross multiply
    63,585x = 94,297.50 × 94,297.50
  4. Step 4: Simplify right side
    63,585x = 8,892,018,506.25
  5. Step 5: Solve for x
    x = 8,892,018,506.25/63,585
  6. Step 6: Final answer
    x = 139,844.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.