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Finding the Third Proportional to 105,547.50 and 157,794.47

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Solution

The third proportional to 105,547.50 and 157,794.47 is: 235,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,547.50 : 157,794.47 = 157,794.47 : x
  2. Step 2: Convert to fraction form
    105,547.50/157,794.47 = 157,794.47/x
  3. Step 3: Cross multiply
    105,547.50x = 157,794.47 × 157,794.47
  4. Step 4: Simplify right side
    105,547.50x = 24,899,094,368.09
  5. Step 5: Solve for x
    x = 24,899,094,368.09/105,547.50
  6. Step 6: Final answer
    x = 235,904.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.