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Finding the Third Proportional to 64,308 and 139,348

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Solution

The third proportional to 64,308 and 139,348 is: 301,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308 : 139,348 = 139,348 : x
  2. Step 2: Convert to fraction form
    64,308/139,348 = 139,348/x
  3. Step 3: Cross multiply
    64,308x = 139,348 × 139,348
  4. Step 4: Simplify right side
    64,308x = 19,417,865,104
  5. Step 5: Solve for x
    x = 19,417,865,104/64,308
  6. Step 6: Final answer
    x = 301,951.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.