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Finding the Third Proportional to 91,935 and 130,095

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Solution

The third proportional to 91,935 and 130,095 is: 184,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,935 : 130,095 = 130,095 : x
  2. Step 2: Convert to fraction form
    91,935/130,095 = 130,095/x
  3. Step 3: Cross multiply
    91,935x = 130,095 × 130,095
  4. Step 4: Simplify right side
    91,935x = 16,924,709,025
  5. Step 5: Solve for x
    x = 16,924,709,025/91,935
  6. Step 6: Final answer
    x = 184,094.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.