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Finding the Third Proportional to 64,987 and 139,646

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Solution

The third proportional to 64,987 and 139,646 is: 300,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987 : 139,646 = 139,646 : x
  2. Step 2: Convert to fraction form
    64,987/139,646 = 139,646/x
  3. Step 3: Cross multiply
    64,987x = 139,646 × 139,646
  4. Step 4: Simplify right side
    64,987x = 19,501,005,316
  5. Step 5: Solve for x
    x = 19,501,005,316/64,987
  6. Step 6: Final answer
    x = 300,075.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.