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Finding the Third Proportional to 56,752 and 89,024

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Solution

The third proportional to 56,752 and 89,024 is: 139,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,752 : 89,024 = 89,024 : x
  2. Step 2: Convert to fraction form
    56,752/89,024 = 89,024/x
  3. Step 3: Cross multiply
    56,752x = 89,024 × 89,024
  4. Step 4: Simplify right side
    56,752x = 7,925,272,576
  5. Step 5: Solve for x
    x = 7,925,272,576/56,752
  6. Step 6: Final answer
    x = 139,647.46

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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.