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Finding the Third Proportional to 56,788 and 89,095.75

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Solution

The third proportional to 56,788 and 89,095.75 is: 139,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,788 : 89,095.75 = 89,095.75 : x
  2. Step 2: Convert to fraction form
    56,788/89,095.75 = 89,095.75/x
  3. Step 3: Cross multiply
    56,788x = 89,095.75 × 89,095.75
  4. Step 4: Simplify right side
    56,788x = 7,938,052,668.06
  5. Step 5: Solve for x
    x = 7,938,052,668.06/56,788
  6. Step 6: Final answer
    x = 139,783.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.