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Finding the Third Proportional to 126,656.63 and 197,652.94

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Solution

The third proportional to 126,656.63 and 197,652.94 is: 308,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656.63 : 197,652.94 = 197,652.94 : x
  2. Step 2: Convert to fraction form
    126,656.63/197,652.94 = 197,652.94/x
  3. Step 3: Cross multiply
    126,656.63x = 197,652.94 × 197,652.94
  4. Step 4: Simplify right side
    126,656.63x = 39,066,683,702.38
  5. Step 5: Solve for x
    x = 39,066,683,702.38/126,656.63
  6. Step 6: Final answer
    x = 308,445.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.