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Finding the Third Proportional to 73,550 and 116,528

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Solution

The third proportional to 73,550 and 116,528 is: 184,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,550 : 116,528 = 116,528 : x
  2. Step 2: Convert to fraction form
    73,550/116,528 = 116,528/x
  3. Step 3: Cross multiply
    73,550x = 116,528 × 116,528
  4. Step 4: Simplify right side
    73,550x = 13,578,774,784
  5. Step 5: Solve for x
    x = 13,578,774,784/73,550
  6. Step 6: Final answer
    x = 184,619.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.