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Finding the Third Proportional to 64,521 and 139,248

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Solution

The third proportional to 64,521 and 139,248 is: 300,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521 : 139,248 = 139,248 : x
  2. Step 2: Convert to fraction form
    64,521/139,248 = 139,248/x
  3. Step 3: Cross multiply
    64,521x = 139,248 × 139,248
  4. Step 4: Simplify right side
    64,521x = 19,390,005,504
  5. Step 5: Solve for x
    x = 19,390,005,504/64,521
  6. Step 6: Final answer
    x = 300,522.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.