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Finding the Third Proportional to 91,547 and 130,662

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Solution

The third proportional to 91,547 and 130,662 is: 186,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,547 : 130,662 = 130,662 : x
  2. Step 2: Convert to fraction form
    91,547/130,662 = 130,662/x
  3. Step 3: Cross multiply
    91,547x = 130,662 × 130,662
  4. Step 4: Simplify right side
    91,547x = 17,072,558,244
  5. Step 5: Solve for x
    x = 17,072,558,244/91,547
  6. Step 6: Final answer
    x = 186,489.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.