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Finding the Third Proportional to 88,925 and 130,056

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Solution

The third proportional to 88,925 and 130,056 is: 190,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,925 : 130,056 = 130,056 : x
  2. Step 2: Convert to fraction form
    88,925/130,056 = 130,056/x
  3. Step 3: Cross multiply
    88,925x = 130,056 × 130,056
  4. Step 4: Simplify right side
    88,925x = 16,914,563,136
  5. Step 5: Solve for x
    x = 16,914,563,136/88,925
  6. Step 6: Final answer
    x = 190,211.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.