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Finding the Third Proportional to 104,547 and 157,792.50

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Solution

The third proportional to 104,547 and 157,792.50 is: 238,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,547 : 157,792.50 = 157,792.50 : x
  2. Step 2: Convert to fraction form
    104,547/157,792.50 = 157,792.50/x
  3. Step 3: Cross multiply
    104,547x = 157,792.50 × 157,792.50
  4. Step 4: Simplify right side
    104,547x = 24,898,473,056.25
  5. Step 5: Solve for x
    x = 24,898,473,056.25/104,547
  6. Step 6: Final answer
    x = 238,155.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.