Finding the Third Proportional to 133,820.75 and 197,034.75
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Solution
The third proportional to 133,820.75 and 197,034.75 is: 290,109.66
Step by Step Solution
- Step 1: Write the proportion equation
133,820.75 : 197,034.75 = 197,034.75 : x - Step 2: Convert to fraction form
133,820.75/197,034.75 = 197,034.75/x - Step 3: Cross multiply
133,820.75x = 197,034.75 × 197,034.75 - Step 4: Simplify right side
133,820.75x = 38,822,692,707.56 - Step 5: Solve for x
x = 38,822,692,707.56/133,820.75 - Step 6: Final answer
x = 290,109.66
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.