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Finding the Third Proportional to 64,952.16 and 139,573.69

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Solution

The third proportional to 64,952.16 and 139,573.69 is: 299,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.16 : 139,573.69 = 139,573.69 : x
  2. Step 2: Convert to fraction form
    64,952.16/139,573.69 = 139,573.69/x
  3. Step 3: Cross multiply
    64,952.16x = 139,573.69 × 139,573.69
  4. Step 4: Simplify right side
    64,952.16x = 19,480,814,242.35
  5. Step 5: Solve for x
    x = 19,480,814,242.35/64,952.16
  6. Step 6: Final answer
    x = 299,925.60

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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.